# Math Help - complex variables, determining shape?

1. ## complex variables, determining shape?

The question is to sketch the set of points determined by the equation.
|3z - 2i|>= 4

I know that if it was say |z -1 - 2i| = 2 that its a circle centered at (1,2) with radius 2. But im not sure how to interpret the above equation.

2. Try dividing by 3, should help you along

3. okay so now I have that |z-2/3 i|>=4/3 so im interpretting this as center of the circle is at 2/3i and radius is 4/3 and since the inequality is >= i want everything outside of the circle. Does this make sense?

4. Originally Posted by scubasteve123
okay so now I have that |z-2/3 i|>=4/3 so im interpretting this as center of the circle is at 2/3i and radius is 4/3 and since the inequality is >= i want everything outside of the circle. Does this make sense?
Yep that seems right from here.

Just remember that as the inequality is $\geq$, you will need to include the line of the circle as well.